Question

Please help I need the answers ASAP.

Answer 1

Question 1:

`(2)/(3) n-16=-(5)/(6)n+2`, solve for n.

`(2)/(3) n-16=-(5)/(6)n+2`

=>
`(2)/(3) n=-(5)/(6)n+18`

=>
`(2)/(3) n+(5)/(6)n=18` =>
`(4)/(6) n+(5)/(6)n=18`

=>
`(9)/(6) n=18` =>
`(3)/(2) n=18`

=>
`n=18((2)/(3))`

=>
`n=6(2)`

Sol: n=12

Question 2:

`5-(1)/(3)p=(4)/(9)p+12`, solve for p.

`5-(1)/(3)p=(4)/(9)p+12`

=>
`5=(4)/(9)p+(1)/(3)p+12`

=>
`5=(4)/(9)p+(3)/(9)p+12`

=>
`5=(7)/(9)p+12`

=>
`-7=(7)/(9)p`

=>
`-7((9)/(7)) =p`

=>
`-(9)=p`

Sol: p=-9

Question 3:

The relationship between ∠2 and ∠7 is that they are alternate interior angles.

Question 4:

The relationship between ∠1 and ∠3 is that they are corresponding angles.

Question 5:

The relationship between ∠4 and ∠5 is that they are alternate exterior angles.